Finding the Third Proportional to 169,334 and 361,996

Step by Step Solution

1. Step 1: Write the proportion equation
   169,334 : 361,996 = 361,996 : x
2. Step 2: Convert to fraction form
   169,334/361,996 = 361,996/x
3. Step 3: Cross multiply
   169,334x = 361,996 × 361,996
4. Step 4: Simplify right side
   169,334x = 131,041,104,016
5. Step 5: Solve for x
   x = 131,041,104,016/169,334
6. Step 6: Final answer
   x = 773,861.74